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Finding the Fourth Proportional to 4,223.88, 5,823.90 and 3,278.88

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Solution

The fourth proportional to 4,223.88, 5,823.90 and 3,278.88 is: 4,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.88 : 5,823.90 = 3,278.88 : x
  2. Step 2: Convert to fraction form
    4,223.88/5,823.90 = 3,278.88/x
  3. Step 3: Cross multiply
    4,223.88x = 5,823.90 × 3,278.88
  4. Step 4: Simplify right side
    4,223.88x = 19,095,869.23
  5. Step 5: Solve for x
    x = 19,095,869.23/4,223.88
  6. Step 6: Final answer
    x = 4,520.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.